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Finding the Fourth Proportional to 408,494, 612,775.56 and 113,006

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Solution

The fourth proportional to 408,494, 612,775.56 and 113,006 is: 169,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,494 : 612,775.56 = 113,006 : x
  2. Step 2: Convert to fraction form
    408,494/612,775.56 = 113,006/x
  3. Step 3: Cross multiply
    408,494x = 612,775.56 × 113,006
  4. Step 4: Simplify right side
    408,494x = 69,247,314,933.36
  5. Step 5: Solve for x
    x = 69,247,314,933.36/408,494
  6. Step 6: Final answer
    x = 169,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.